# What is the degree of the Polynomial 3-4z^4 w^8u^6 7u^9zw^8?

Dec 17, 2015

The greatest sum of exponents of each of the terms, namely:

$4 + 8 + 6 + 9 + 1 + 8 = 36$

#### Explanation:

This polynomial has two terms (unless there is a missing $+$ or $-$ before the $7 {u}^{9} z {w}^{8}$ as I suspect).

The first term has no variables and is therefore of degree $0$.

The second term has degree $4 + 8 + 6 + 9 + 1 + 8 = 36$, which being greater than $0$ is the degree of the polynomial.

Note that if your polynomial should have been something like:

$3 - 4 {z}^{4} {w}^{8} {u}^{6} + 7 {u}^{9} z {w}^{8}$

then the degree would be the maximum of the degrees of the terms:

$0$

$4 + 8 + 6 = 18$

$9 + 1 + 8 = 18$

so the degree of the polynomial would be $18$